User hce

867

votes

264

answers

239k

views

Examples of common false beliefs in mathematics

big-list mathematics-education

Nov 17 at 15:43 A.DellaCorte 1,342

358

votes

79

answers

162k

views

Proofs without words

Dec 23 at 8:56 Martin Sleziak 4,257

269

votes

16

answers

114k

views

What's a mathematician to do? [closed]

career soft-question advice

Dec 3 at 9:24 David 103

201

votes

66

answers

37k

views

Proofs that require fundamentally new ways of thinking

ho.history-overview big-list

Mar 1 at 20:25 the L 984

168

votes

77

answers

60k

views

Best online mathematics videos?

soft-question big-list examples online-resources

Dec 18 at 22:33 Erin Carmody 416

150

votes

4

answers

9k

views

Analytic tools in algebraic geometry

ag.algebraic-geometry big-picture

Apr 20 '17 at 23:51 Will Sawin 87.2k

149

votes

8

answers

14k

views

How to escape the inclination to be a universalist or: How to learn to stop worrying and do some research.

advice career soft-question

Aug 6 '18 at 14:28 Noah Snyder 24.2k

147

votes

47

answers

19k

views

Generalizing a problem to make it easier

soft-question big-list

Jul 9 at 3:44 Tom Copeland 6,109

134

votes

69

answers

184k

views

Mathematical “urban legends”

ho.history-overview

Oct 11 '13 at 1:00 Community♦ 1

112

votes

10

answers

16k

views

Are there any very hard unknots?

knot-theory

Jul 5 '17 at 12:35 Joseph O'Rourke 137k

112

votes

16

answers

32k

views

How do you keep your research notes organized? [closed]

career soft-question

May 18 '12 at 12:46 Nitin Rughoonauth 11

109

votes

71

answers

18k

views

Most helpful math resources on the web

soft-question big-list computer-algebra reading-list online-resources

Jun 8 '16 at 18:27 Community♦ 1

94

votes

8

answers

7k

views

When should a result be made into a paper?

mathematical-writing journals soft-question

Dec 6 '17 at 21:46 Peter Shor 5,891

89

votes

1

answer

8k

views

The mathematical theory of Feynman integrals

fa.functional-analysis mp.mathematical-physics pr.probability gt.geometric-topology feynman-integral

May 16 '10 at 16:01 Clay Cordova 1,947

88

votes

4

answers

10k

views

How can there be topological 4-manifolds with no differentiable structure?

differential-topology 4-manifolds

Mar 24 '11 at 9:00 Community♦ 1

83

votes

5

answers

15k

views

What is sheaf cohomology intuitively?

sheaf-theory cohomology intuition soft-question

Apr 6 '17 at 6:01 Ben McKay 20.6k

77

votes

3

answers

10k

views

Intuitive explanation for the Atiyah-Singer index theorem

vector-bundles kt.k-theory-and-homology differential-operators characteristic-classes index-theory

Jun 10 '17 at 9:47 Ali Taghavi 669

73

votes

27

answers

9k

views

Good papers/books/essays about the thought process behind mathematical research

soft-question big-list

Oct 27 '13 at 14:58 Community♦ 1

69

votes

9

answers

20k

views

Why can't there be a general theory of nonlinear PDE?

ap.analysis-of-pdes

Aug 12 '13 at 9:49 Ben McKay 20.6k

67

votes

21

answers

15k

views

Algebraic geometry examples

ag.algebraic-geometry big-list examples

Nov 7 '19 at 15:41 Ivan Meir 3,273

66

votes

6

answers

24k

views

What are Jacob Lurie's key insights?

higher-category-theory ho.history-overview

Oct 3 '10 at 22:55 Mike Shulman 51.4k

61

votes

4

answers

8k

views

Hirzebruch's motivation of the Todd class

generating-functions at.algebraic-topology

Feb 6 '20 at 17:41 Mattia Coloma 470

61

votes

42

answers

19k

views

Most intricate and most beautiful structures in mathematics

big-list soft-question

Nov 23 '19 at 4:35 Community♦ 1

56

votes

14

answers

19k

views

A reading list for topological quantum field theory?

mp.mathematical-physics topological-quantum-field-theory reading-list reference-request big-list

Jan 31 '20 at 10:06 arsmath 6,064

45

votes

10

answers

4k

views

effective teaching

teaching mathematics-education

Dec 6 at 11:14 Martin Sleziak 4,257

45

votes

4

answers

5k

views

How much reading do you do before you attack a problem?

soft-question career advice

Sep 28 '14 at 2:42 Chuck 101

42

votes

7

answers

13k

views

Way to memorize relations between the Sobolev spaces?

fa.functional-analysis ca.classical-analysis-and-odes

May 18 '12 at 9:28 Liviu Nicolaescu 30.2k

42

votes

5

answers

3k

views

Is there a quaternionic algebraic geometry ?

quaternions ag.algebraic-geometry noncommutative-geometry

Jan 14 '11 at 11:55 Roberto Frigerio 3,559

41

votes

6

answers

5k

views

What does “quantization is not a functor” really mean?

qa.quantum-algebra ct.category-theory

Feb 27 '10 at 16:41 Community♦ 1

39

votes

3

answers

5k

views

Intuition behind Riemann's bilinear relations

ag.algebraic-geometry

Mar 2 at 3:25 David E Speyer 127k

Stack Exchange Network

current community

your communities

more stack exchange communities

Next badge

63 Bookmarks

Examples of common false beliefs in mathematics

Proofs without words

What's a mathematician to do? [closed]

Proofs that require fundamentally new ways of thinking

Best online mathematics videos?

Analytic tools in algebraic geometry

How to escape the inclination to be a universalist or: How to learn to stop worrying and do some research.

Generalizing a problem to make it easier

Mathematical “urban legends”

Are there any very hard unknots?

How do you keep your research notes organized? [closed]

Most helpful math resources on the web

When should a result be made into a paper?

The mathematical theory of Feynman integrals

How can there be topological 4-manifolds with no differentiable structure?

What is sheaf cohomology intuitively?

Intuitive explanation for the Atiyah-Singer index theorem

Good papers/books/essays about the thought process behind mathematical research

Why can't there be a general theory of nonlinear PDE?

Algebraic geometry examples

What are Jacob Lurie's key insights?

Hirzebruch's motivation of the Todd class

Most intricate and most beautiful structures in mathematics

A reading list for topological quantum field theory?

effective teaching

How much reading do you do before you attack a problem?

Way to memorize relations between the Sobolev spaces?

Is there a quaternionic algebraic geometry ?

What does “quantization is not a functor” really mean?

Intuition behind Riemann's bilinear relations